In a previous communication the transmission characteristics of both narrow bandpass filters and birefringent band suppression filters (BBSF) have been investigated where a retarder-rotator combination is used at each stage. The tuning procedures of these fixed-type filters have also been studied where the thickness of each retarder plate was the same and the thickness of each rotator plate was the same. In the present paper we first study the variation of intensity transmittance with the variation of number of stages of the previously proposed filter. A simple way of synthesizing a BBSF system by using a number of equal thickness linear retarder plates is also indicated. Lastly we study the transmission characteristics and the tuning procedures of both narrow bandpass filters and birefringent band suppression filters where the retarder and the rotator plates of unequal thicknesses are used for their construction.